Generators of nonassociative simple Moufang loops over finite prime fields
Group Theory
2007-05-23 v1
Abstract
We present an elementary proof that the nonassociative simple Moufang loops over finite prime fields are generated by three elements. In the last section, we conclude that integral Cayley numbers of unit norm are generated multiplicatively by three elements.
Cite
@article{arxiv.math/0701692,
title = {Generators of nonassociative simple Moufang loops over finite prime fields},
author = {Petr Vojtěchovský},
journal= {arXiv preprint arXiv:math/0701692},
year = {2007}
}
Comments
7 pages